1. {15 points} Consider the function x) = 3'33 4231'\" in) Find f'tr) (b) Find f"[.t) (c) Find the zeros of x]. Hint: factor out I133 as your rst step.| [d] Find the critical points of x]. Hint: rewrite your derivative term from part {a} to have a common denominator. (e) For your critical points found above, classify each of them as singular or stationary points. [f] Find the inection points of x) using your answer from part (b). (g) Use the First Derivative Test to classify each critical point found in part (d) as a local mini- mum/maximum or neither. (h) Use the Second Derivative Test to classify the concavity of each inflection point found in part (e). (i) Using all of your information, sketch the graph of f(x) in the empty space below. Be sure to label your axes and label your tick marks